Question

Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars.

Public Accountant | Financial Planner |
---|---|

50.2 | 49.0 |

59.8 | 50.2 |

57.3 | 54.1 |

57.2 | 56.9 |

53.2 | 50.9 |

55.0 | 52.6 |

51.9 | 50.7 |

59.5 | 54.9 |

58.0 | 52.8 |

52.9 | 49.9 |

(a)

Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners.

State the null and alternative hypotheses.

*H*_{0}: The two populations of salaries are not
identical.

*H*_{a}: The two populations of salaries are
identical.*H*_{0}: Median salary for public
accountants − Median salary for financial planners ≤ 0

*H*_{a}: Median salary for public accountants −
Median salary for financial planners >
0 *H*_{0}: Median salary for
public accountants − Median salary for financial planners ≥ 0

*H*_{a}: Median salary for public accountants −
Median salary for financial planners < 0*H*_{0}:
The two populations of salaries are identical.

*H*_{a}: The two populations of salaries are not
identical.*H*_{0}: Median salary for public
accountants − Median salary for financial planners > 0

*H*_{a}: Median salary for public accountants −
Median salary for financial planners = 0

Find the value of the test statistic.

*W* =

Find the *p*-value. (Round your answer to four decimal
places.)

*p*-value =

What is your conclusion?

Reject *H*_{0}. There is not sufficient evidence
to conclude that there is a significant difference between the
starting annual salaries of public accountants and financial
planners.Reject *H*_{0}. There is sufficient
evidence to conclude that there is a significant difference between
the starting annual salaries of public accountants and financial
planners. Do not reject
*H*_{0}. There is not sufficient evidence to
conclude that there is a significant difference between the
starting annual salaries of public accountants and financial
planners.Do not reject *H*_{0}. There is sufficient
evidence to conclude that there is a significant difference between
the starting annual salaries of public accountants and financial
planners.

(b)

What are the sample median annual salaries (in $) for the two professions?

Public Accountantssample median=$ Financial Plannerssample median=$

Answer #1

Samples of starting annual salaries for individuals entering the
public accounting and financial planning professions follow. Annual
salaries are shown in thousands of dollars.
Public
Accountant
Financial
Planner
50.2
49.0
59.8
50.2
57.3
54.1
57.2
56.9
53.2
50.9
55.0
52.6
51.9
50.7
59.5
54.9
58.0
52.8
52.9
49.9
(a)
Use a 0.05 level of significance and test the hypothesis that
there is no difference between the starting annual salaries of
public accountants and financial planners.
State the null and alternative...

You may need to use the appropriate appendix table or technology
to answer this question.
The gap between the earnings of men and women with equal
education is narrowing but has not closed. Sample data for seven
men and seven women with bachelor's degrees are as follows. Data
are shown in thousands of dollars.
Men
Women
39.6
46.5
82.5
42.4
52.2
38.9
60.2
49.5
47.2
32.8
53.9
58.5
62.3
26.8
(a)
What is the median salary (in $) for men?...

You may need to use the appropriate appendix table or technology
to answer this question.
The gap between the earnings of men and women with equal
education is narrowing but has not closed. Sample data for seven
men and seven women with bachelor's degrees are as follows. Data
are shown in thousands of dollars.
Men
Women
32.6
41.5
80.5
40.4
50.2
35.9
66.2
42.5
44.2
30.8
59.9
55.5
60.3
21.8
(a)
What is the median salary (in $) for men?...

ou may need to use the appropriate appendix table or technology
to answer this question.
The following data are product weights for the same items
produced on two different production lines.
Line 1
Line 2
13.6
13.7
13.8
14.1
14.0
14.2
13.9
14.0
13.4
14.6
13.2
13.5
13.3
14.4
13.6
14.8
12.9
14.5
14.4
14.3
15.0
14.9
Test for a difference between the product weights for the two
lines. Use α = 0.05.
State the null and alternative hypotheses.
H0:...

When flights are delayed, do two of the worst airports
experience delays of the same length? Suppose the delay times in
minutes for seven recent, randomly selected delayed flights
departing from each of these airports are as follows.
Airport 1
Airport 2
68
105
96
35
47
33
32
84
53
79
25
42
46
54
Use the MWW test to determine if there is a difference in length
of flight delays for these two airports. Use α = 0.05....

The better-selling candies are often high in calories. Assume
that the following data show the calorie content from samples of
M&M's, Kit Kat, and Milky Way candies.
M&M's
Kit Kat
Milky Way
250
245
200
210
205
208
230
215
202
220
225
190
250
240
180
Test for significant differences among the calorie content of
these three candies.
State the null and alternative hypotheses.
H0: MedianMM ≠
MedianKK ≠ MedianMW
Ha: MedianMM = MedianKK =
MedianMWH0: MedianMM =
MedianKK...

The table below presents the summary statistics for the starting
annual salaries (in thousands of dollars) for individuals entering
the public accounting and financial planning professions.
Sample I (public accounting): X?1 = 60.35, 3.25
S1 = 3.25, n1 = 12 n
Sample II (financial planning): X?2 = 58.20, 2.48
S2 = 2.48, n2 = 14 n
Test whether the mean starting annual salaries for individuals
entering the public accounting professions is higher than that of
financial planning assuming that...

Three admission test preparation programs are being evaluated.
Suppose the scores obtained by a sample of 20 people who used the
programs provided the following data.
Program
A
B
C
540
450
600
400
540
630
480
400
570
530
410
480
480
470
580
610
360
620
550
560
Use the Kruskal-Wallis test to determine whether there is a
significant difference among the three test preparation programs.
Use α = 0.05.
State the null and alternative hypotheses.
H0: Not...

On the basis of data provided by a salary survey, the variance
in annual salaries for seniors in public accounting firms is
approximately 2.1 and the variance in annual salaries for managers
in public accounting firms is approximately 11.1. The salary data
were provided in thousands of dollars. Assuming that the salary
data were based on samples of 25 seniorsand 26 managers, test to
determine whether there is a significant difference between the
variances of salaries for seniors and managers....

Below are the summary statistics for the starting annual
salaries (in thousands of dollars) for individuals entering the
public accounting and financial planning professions. If the level
of significance is 0.05, what is the value of the test statistic
for testing whether there is evidence of differences in the
variances? Sample 1 (public accounting) xbar = 60.35 S = 3.25 n =
12
Sample 2 (fin. planning) xbar = 58.20 S = 2.48

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